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81897550020 = 22325111341711093
BaseRepresentation
bin100110001000101111…
…0010111000011000100
321211101120200121021100
41030101132113003010
52320211233100040
6101342340420100
75626332455256
oct1142136270304
9254346617240
1081897550020
1131807039540
1213a573a7630
1379522bb490
143d6cba5cd6
1521e4d95b30
hex13117970c4

81897550020 has 576 divisors, whose sum is σ = 303459706368. Its totient is φ = 17611776000.

The previous prime is 81897549971. The next prime is 81897550051. The reversal of 81897550020 is 2005579818.

It is a happy number.

81897550020 is a `hidden beast` number, since 8 + 1 + 8 + 97 + 550 + 0 + 2 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74928594 + ... + 74929686.

It is an arithmetic number, because the mean of its divisors is an integer number (526839768).

Almost surely, 281897550020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 81897550020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151729853184).

81897550020 is an abundant number, since it is smaller than the sum of its proper divisors (221562156348).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

81897550020 is a wasteful number, since it uses less digits than its factorization.

81897550020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 1239 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The spelling of 81897550020 in words is "eighty-one billion, eight hundred ninety-seven million, five hundred fifty thousand, twenty".